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Finding the Fourth Proportional to 20,876.72, 31,323 and 12,562.46

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Solution

The fourth proportional to 20,876.72, 31,323 and 12,562.46 is: 18,848.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,876.72 : 31,323 = 12,562.46 : x
  2. Step 2: Convert to fraction form
    20,876.72/31,323 = 12,562.46/x
  3. Step 3: Cross multiply
    20,876.72x = 31,323 × 12,562.46
  4. Step 4: Simplify right side
    20,876.72x = 393,493,934.58
  5. Step 5: Solve for x
    x = 393,493,934.58/20,876.72
  6. Step 6: Final answer
    x = 18,848.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.